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LCM of 734, 492, 622, 341

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 734, 492, 622, 341 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 734, 492, 622, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,492,622,341

Given numbers are 734,492,622,341

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 734,492,622,341 is 19148992764.

Find LCM of 734,492,622,341 with Prime Factorization


2 734, 492, 622, 341
367, 246, 311, 341

Multiply the prime numbers at the bottom and the left side.

2 x 367 x 246 x 311 x 341 = 19148992764

Therefore, the lowest common multiple of 734,492,622,341 is 19148992764.

LCM Formula to Find Lowest Common Multiple of 734,492,622,341

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

734 x 492 x 622 x 341 = 76595971056

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

734 : 1, 2, 367, 734

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

622 : 1, 2, 311, 622

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,492,622,341, is 1.

Now, the common factors can be found like this.

734:2x 367

492:2x 2x 3x 41

622:2x 311

341:11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 76595971056/(1x4)

LCM = 76595971056/4

LCM = 19148992764

Thus, we can understand that the LCM of 734,492,622,341 is 19148992764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 492, 622, 341

1. What is the LCM of 734, 492, 622, 341?

Answer: LCM of 734, 492, 622, 341 is 19148992764.

2. How to calculate the LCM of 734, 492, 622, 341?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 734, 492, 622, 341.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.